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Finding the Fourth Proportional to 12,222.84, 18,329.70 and 4,824.84

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Solution

The fourth proportional to 12,222.84, 18,329.70 and 4,824.84 is: 7,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,222.84 : 18,329.70 = 4,824.84 : x
  2. Step 2: Convert to fraction form
    12,222.84/18,329.70 = 4,824.84/x
  3. Step 3: Cross multiply
    12,222.84x = 18,329.70 × 4,824.84
  4. Step 4: Simplify right side
    12,222.84x = 88,437,869.75
  5. Step 5: Solve for x
    x = 88,437,869.75/12,222.84
  6. Step 6: Final answer
    x = 7,235.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.